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Simplifying 3m + 8 + 2(3m + -3) + -3(m + 3) = 0 Reorder the terms: 3m + 8 + 2(-3 + 3m) + -3(m + 3) = 0 3m + 8 + (-3 * 2 + 3m * 2) + -3(m + 3) = 0 3m + 8 + (-6 + 6m) + -3(m + 3) = 0 Reorder the terms: 3m + 8 + -6 + 6m + -3(3 + m) = 0 3m + 8 + -6 + 6m + (3 * -3 + m * -3) = 0 3m + 8 + -6 + 6m + (-9 + -3m) = 0 Reorder the terms: 8 + -6 + -9 + 3m + 6m + -3m = 0 Combine like terms: 8 + -6 = 2 2 + -9 + 3m + 6m + -3m = 0 Combine like terms: 2 + -9 = -7 -7 + 3m + 6m + -3m = 0 Combine like terms: 3m + 6m = 9m -7 + 9m + -3m = 0 Combine like terms: 9m + -3m = 6m -7 + 6m = 0 Solving -7 + 6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6m = 0 + 7 6m = 0 + 7 Combine like terms: 0 + 7 = 7 6m = 7 Divide each side by '6'. m = 1.166666667 Simplifying m = 1.166666667
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